Select the correct answer from each drop-down menu. In the figure, and bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram.

StatementReason
and bisect each other. given
and definition of bisection
m∠AEB = m∠CED
SAS criterion
∠ACD ≅ ∠CABCorresponding angles of congruent triangles are congruent.
converse of Alternate Interior Angles Theorem
m∠BEC = m∠AEDVertical Angles Theorem
SAS criterion for congruence

Quadrilateral ABCD is a parallelogram. definition of a parallelogram